Q1 · hard · AI-verified
Two circles of radii 5 cm and 3 cm touch each other internally. Find the distance between their centers.
- 2 cm
- 8 cm
- 4 cm
- 1 cm
Q2 · hard · AI-verified
A cone has a base radius of 7 cm and slant height of 25 cm. Find the curved surface area of the cone.
- 550 cm²
- 450 cm²
- 650 cm²
- 350 cm²
Q3 · hard · AI-verified
In triangle ABC, D is a point on BC such that BD:DC = 2:3. If the area of triangle ABD is 20 sq units, find the area of triangle ABC.
- 50 sq units
- 40 sq units
- 60 sq units
- 35 sq units
Q4 · hard · AI-verified
In a triangle ABC, the sides are in the ratio 3:4:5. If the area of the triangle is 54 sq units, find the length of the longest side.
- 15 units
- 18 units
- 20 units
- 25 units
Q5 · hard · AI-verified
A regular hexagon is inscribed in a circle of radius 12 cm. Find the area of the hexagon.
- 216√3 sq cm
- 108√3 sq cm
- 144√3 sq cm
- 72√3 sq cm